Hey Dan. I weirdly was researching this hard couple days ago. If u look in my posts I've done one asking about oil. But I have your car and ur looking for 5W40 C3. On the back of the oil bottle it should say fiat 955535 s2. But to answer you exactly castrol magnatec 5w 40 c3 is what you want.

The price of Valvoline products in the category Gearbox oil and transmission oil for the FIAT GRANDE PUNTO ranges from £14 to £23, depending on the features and specifications. Valvoline Gearbox oil and transmission oil for FIAT GRANDE PUNTO: customer reviews and ratings

Open nipple, push down pedal, close nipple, raise pedal, repeat. Keep topping up reservoir until fluid flows clean. Repeat on all four brakes. Old fluid absorbs water which boils when it gets hot and the brakes stop working. It also rots the brake callipers.
I had an older Bravo 1.4 12v .. that i got with oil sludge problems, At one point the camshafts were running dry, engine was making an awful noise. With diesel, cheap oil and filters for 4-5 oil changes i cured it. Later the oil changes were at 15k km without any problems.
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Fiat Linea I (323) in 2007 – 2018; Fiat Panda II (169) in 2010 – 2012; Fiat Grande Punto I (199) in 2005 – 2012; Fiat Punto IV (199) in 2012 – 2018; Lancia Musa I (350) in 2005 – 2012; Lancia Ypsilon I (843) in 2006 – 2011. Disadvantages of the Fiat 350A1000 engine. The main problem is the oil burner due to the rapid wear of rings
Gearbox oil and transmission oil: What is the best brand for the FIAT Grande Punto Hatchback (199) 1.4 16V 2005 - 2011 95hp / 70kW? The best brands for the FIAT Grande Punto Hatchback (199) 1.4 16V 2005 - 2011 95hp / 70kW in the category Gearbox oil and transmission oil are: FEBI BILSTEIN; FANFARO; CASTROL; MOTUL; SHELL
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fiat grande punto oil capacity